WOLFRAM

Education & Academic

Theory Meets Practice: 8 Books to Start Your Career in Astrophysics, Geography, Civil Engineering and More

In or out of school, the opportunities to learn and grow in your career are endless, and Wolfram is proud to bolster those with educational resources, from courses to textbooks. We are happy to share conversations with two authors whose books cover applications of Wolfram technology in astrophysics and geography, as well as highlight a few other recent book releases featuring Wolfram Language. Whether you’re building your summer reading list or prepping to wow interviewers, these titles are essential insights for real-world, computational STEM operations.
Computation & Analysis

Compression and Recompression of JPEG: Stability, Artifacts and Iterative Image Collapse

Every semester or two, students ask me about the implications of re-compression, especially of JPEG files. Compression comes in two main kinds—Lossless, which is completely invertible, meaning you get exactly what you put in when you decompress, and Lossy which ‘throws out’ things deemed unimportant in some way, so that when you decompress, you get […]

Education & Academic

LLMs, Symbolic Computation and the Future of Mathematical Discovery

“The cat’s out of the bag,” said the mathematician Andrew Granville, reflecting on the rapid improvement of AI systems. His phrase captures the mood of the moment: by 2025-26, large language models (LLMs) had become powerful enough to move from impressive demonstrations to serious mathematical and scientific use. AI systems reached gold-medal level at the […]

Education & Academic

Computational Geometry Modeling of the Neolithic Circular Ditch in Vinoř, Prague

This tutorial is a follow-up to a recent post by the author herself about archeoastronomical modeling of Central European Neolithic Circular Ditches [1], or roundels, with Wolfram 3D graphical primitives. Here, the focus will be instead on the use of mesh-based primitives from computational geometry to build a realistic 3D model of a roundel recently […]

Education & Academic

A Modern eTextbook on Laplace Transforms for Engineering, Science and More

The Laplace transform is such an effective tool for solving problems in the fields of science and engineering—it’s one of the main tools available for solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). I’m excited to announce that the notebook version of Laplace Transforms in Theory and Practice: A Computational Approach by Hrachya Khachatryan is now available as a free download from Wolfram Media for all the world to learn this beautiful subject.
Education & Academic

All Elementary Functions from a Single Binary Operator

A single two-input gate suffices for all of Boolean logic in digital hardware. No comparable primitive has been known for continuous mathematics: computing elementary functions such as sin, cos, sqrt and log has always required multiple distinct operations. Here I show that a single binary operator, eml(x,y)=exp(x)-ln(y), together with the constant 1, generates the standard […]

Wolfram Community

A Computational Approach to Early Breast Cancer Detection Using Wolfram

Wolfram Language is a multi-paradigm programming language designed for functional programming. It is mainly used in Wolfram|Alpha and Mathematica. ​ This year, Texas Tech University organized a HACKATHON with the purpose of detecting and classifying breast cancer using Wolfram Language. This competition aims to introduce girls from Colegios Científicos to programming, promote female participation in […]

Education & Academic

Checkmate! Dominate the Competition by Learning Game Theory with Wolfram Language

“‘Tis better to have loved and lost than never to have loved at all.’ In other words, love is a dominant strategy.” ― Avinash K. Dixit, Thinking Strategically: The Competitive Edge in Business, Politics, and Everyday Life How do people make decisions? How close can mathematics imitate complex decision-making scenarios? What is rationality, really? What are the payoffs of war, marriage or revolution? What does mathematics have to say about making life-changing decisions? The answers to these questions require an understanding of game theory, which is otherwise known as the mathematics of decision making. An understanding of game theory is required for professionals in an increasing number of fields, such as economics, business, political science, psychology and computer science.